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Finding the Third Proportional to 18,424.34 and 40,539.23

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Solution

The third proportional to 18,424.34 and 40,539.23 is: 89,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,424.34 : 40,539.23 = 40,539.23 : x
  2. Step 2: Convert to fraction form
    18,424.34/40,539.23 = 40,539.23/x
  3. Step 3: Cross multiply
    18,424.34x = 40,539.23 × 40,539.23
  4. Step 4: Simplify right side
    18,424.34x = 1,643,429,523.71
  5. Step 5: Solve for x
    x = 1,643,429,523.71/18,424.34
  6. Step 6: Final answer
    x = 89,198.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.